MHD Laminar Boundary Layer Flow of a Jeffrey Fluid Past a Vertical Plate Influenced by Viscous Dissipation and a Heat Source/Sink
This study investigates the effects of viscous dissipation and a heat source or sink on the magneto-hydrodynamic laminar boundary layer flow of a Jeffrey fluid past a vertical plate. The governing boundary layer non-linear partial differential equations are reduced to non-linear ordinary differentia...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/16/1896 |
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| author | Hillary Muzara Stanford Shateyi |
| author_facet | Hillary Muzara Stanford Shateyi |
| author_sort | Hillary Muzara |
| collection | DOAJ |
| description | This study investigates the effects of viscous dissipation and a heat source or sink on the magneto-hydrodynamic laminar boundary layer flow of a Jeffrey fluid past a vertical plate. The governing boundary layer non-linear partial differential equations are reduced to non-linear ordinary differential equations using suitable similarity transformations. The resulting system of dimensionless differential equations is then solved numerically using the bivariate spectral quasi-linearisation method. The effects of some physical parameters that include the Schmidt number, Eckert number, radiation parameter, magnetic field parameter, heat generation parameter, and the ratio of relaxation to retardation times on the velocity, temperature, and concentration profiles are presented graphically. Additionally, the influence of some physical parameters on the skin friction coefficient, local Nusselt number, and the local Sherwood number are displayed in tabular form. |
| first_indexed | 2024-03-10T08:37:07Z |
| format | Article |
| id | doaj.art-754934fcd16b4955b920a1732a424a27 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T08:37:07Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-754934fcd16b4955b920a1732a424a272023-11-22T08:33:33ZengMDPI AGMathematics2227-73902021-08-01916189610.3390/math9161896MHD Laminar Boundary Layer Flow of a Jeffrey Fluid Past a Vertical Plate Influenced by Viscous Dissipation and a Heat Source/SinkHillary Muzara0Stanford Shateyi1Department of Mathematics and Computational Sciences, Faculty of Science, University of Zimbabwe, Mt. Pleasant, Harare P.O. Box MP167, ZimbabweDepartment of Mathematics and Applied Mathematics, School of Natural and Mathematical Sciences, University of Venda, P. Bag X5050, Thohoyandou 0950, South AfricaThis study investigates the effects of viscous dissipation and a heat source or sink on the magneto-hydrodynamic laminar boundary layer flow of a Jeffrey fluid past a vertical plate. The governing boundary layer non-linear partial differential equations are reduced to non-linear ordinary differential equations using suitable similarity transformations. The resulting system of dimensionless differential equations is then solved numerically using the bivariate spectral quasi-linearisation method. The effects of some physical parameters that include the Schmidt number, Eckert number, radiation parameter, magnetic field parameter, heat generation parameter, and the ratio of relaxation to retardation times on the velocity, temperature, and concentration profiles are presented graphically. Additionally, the influence of some physical parameters on the skin friction coefficient, local Nusselt number, and the local Sherwood number are displayed in tabular form.https://www.mdpi.com/2227-7390/9/16/1896MHD boundary layer flowJeffrey modelspectral collocationbivariate spectral quasi-linearisationchemical reactionthermal radiation |
| spellingShingle | Hillary Muzara Stanford Shateyi MHD Laminar Boundary Layer Flow of a Jeffrey Fluid Past a Vertical Plate Influenced by Viscous Dissipation and a Heat Source/Sink Mathematics MHD boundary layer flow Jeffrey model spectral collocation bivariate spectral quasi-linearisation chemical reaction thermal radiation |
| title | MHD Laminar Boundary Layer Flow of a Jeffrey Fluid Past a Vertical Plate Influenced by Viscous Dissipation and a Heat Source/Sink |
| title_full | MHD Laminar Boundary Layer Flow of a Jeffrey Fluid Past a Vertical Plate Influenced by Viscous Dissipation and a Heat Source/Sink |
| title_fullStr | MHD Laminar Boundary Layer Flow of a Jeffrey Fluid Past a Vertical Plate Influenced by Viscous Dissipation and a Heat Source/Sink |
| title_full_unstemmed | MHD Laminar Boundary Layer Flow of a Jeffrey Fluid Past a Vertical Plate Influenced by Viscous Dissipation and a Heat Source/Sink |
| title_short | MHD Laminar Boundary Layer Flow of a Jeffrey Fluid Past a Vertical Plate Influenced by Viscous Dissipation and a Heat Source/Sink |
| title_sort | mhd laminar boundary layer flow of a jeffrey fluid past a vertical plate influenced by viscous dissipation and a heat source sink |
| topic | MHD boundary layer flow Jeffrey model spectral collocation bivariate spectral quasi-linearisation chemical reaction thermal radiation |
| url | https://www.mdpi.com/2227-7390/9/16/1896 |
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